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Finding the Fourth Proportional to 442, 663.18 and 153.46

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Solution

The fourth proportional to 442, 663.18 and 153.46 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 663.18 = 153.46 : x
  2. Step 2: Convert to fraction form
    442/663.18 = 153.46/x
  3. Step 3: Cross multiply
    442x = 663.18 × 153.46
  4. Step 4: Simplify right side
    442x = 101,771.60
  5. Step 5: Solve for x
    x = 101,771.60/442
  6. Step 6: Final answer
    x = 230.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.